Answer:
Step-by-step explanation:
in order to solve this system of equation we would say that let
3x+2y=-8........................................................ equation 1
1 x - y = -1 ........................................................ equation 2
from equation 2
1 x - y = -1 ........................................................ equation 2
x = -1 + y....................................... equation 3
substitute for equation 3 in equation 1
3x+2y=-8........................................................ equation 1
3( -1 + y) + 2y = 8
-3 + 3y +2y = 8
collect the like terms
-3 + 5y = 8
5y = 8 + 3
5y = 11
divide both sides by the coefficient of y
5y/5 = 11/5
y = 2.2
put the value y = 2.2 into equation 3
x = -1 + y....................................... equation 3
x = -1 + 2.2
x = 1.2
therefore th value of x is 1.2 and y is 2.2
Answer:
x = -0.62 and x = 4.29
These values are approximations !
Step-by-step explanation:
You can not use Factoring to solve this equation. Perhaps you did not use the exact notation as in the original question?
Anyway, to solve it, you can still use the ABC formula.
3x²-11x-6=0
a = 3
b =-11
c = -6
x = [11 + √{121 -4(3 *-6)} ]/ 2*3
x = [11 + √{121 -4(-24)} ]/ 6
x = [11 + √{121 + 96} ]/ 6
x = [11 + √{217} ]/ 6
x = 4.29 This is an approximation !
x = [11 - √{121 -4(3 *-6)} ]/ 2*3
x = [11 - √{121 -4(-24)} ]/ 6
x = [11 - √{121 + 96} ]/ 6
x = [11 - √{217} ]/ 6
x = -0.62 This is an approximation !
extra: see the graph.
Answer:
Option 1, 2, and 4 are correct. Option 3 is incorrect.
Answer:
a- 2/5 + 1/4=.65 mixture of red and blue paint
(2/5) / .65 X 1.625=1 gallon of red paint
(1/4) / .65 X 1.625=5/8 gllaons of blue paint, because
1 + 5/8=1 5/8 gallons of purple paint.
b-1/10 + 2/5 + 1/4=.75 mixture of white, red and blue paint
(1/10) / .75 X 3/8= 1/20 gallons of white paint
(2/5) / .75 X 3/8=1/5 gallons of red paint
(1/4) / .75 X 3/8=1/8 gallons of blue paint, because
1/20 + 1/5 + 1/8=3/8 gallons of lighter purple paint.
Step-by-step explanation:
Answer:
x = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
(8x + 2) + 70 + 60 = 180
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 8x + 132 = 180
- Isolate <em>x</em> term: 8x = 48
- Isolate <em>x</em>: x = 6
